The spatial structure of European wind storms as characterized by bivariate extreme-value Copulas

Natural Hazards and Earth System Science

Volumn 12, Issue 5, 2012, Pages 1769-1782

  Bonazzi, A ^a   Cusack, S ^a   Mitas, C ^a   Jewson, S ^a  

^a RISK MANAGEMENT SOLUTIONS   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

CYCLONE; EXTRATROPICAL ENVIRONMENT; EXTREME EVENT; GUST; HAZARD ASSESSMENT; MAPPING; SPATIAL ANALYSIS; STORM; STORM DAMAGE;

EUROPE;

EID: 84861832865     PISSN: 15618633     EISSN: 16849981     Source Type: Journal    
DOI: 10.5194/nhess-12-1769-2012     Document Type: Article

References (41)

1. Anderson, T. W. and Darling, D. A.: Asymptotic theory of certain goodness-of-fit criteria based on stochastic processes, Annals of Mathematical Statistics, 23, 193-212, 1954.
2. Barnes, S. L.: A techniques for maximizing details in numerical weather map analysis, J. Appl. Meteor., 3, 396-409, 1964.
3. Barredo, J. I.: No upward trend in normalised windstorm losses in Europe: 1970-2008, Nat. Hazards Earth Syst. Sci., 10, 97-104, doi:10.5194/nhess-10-97- 2010, 2010.
4. Berg D. and Bakken, H.: Copula Goodness-of-fit Test for Copu-lae Based on the Probability Integral Transform. Tech. Rep. 10, Department of Mathematics, University of Oslo, 2005.
5. Breymann, W., Dias, A., and Embrechts, P.: Dependence structures for multivariate high-frequency data in finance, Quant. Financ., 3, 1-14, 2003. (Pubitemid 37527922)
6. Cebrian, A. C., Denuit, M., and Lambert, P.: Analysis of bivariate tail dependence using extreme value copulas: An application to the SOA medical large claims database, Belgian Actuarial Bulletin, 3, 33-41, 2003.
7. Chernobay, A., Rachev, S., and Fabozzi, F.: Composites goodness of fit tests for left-truncated loss samples, Tech. rep., University of Calivornia Santa Barbara, 2005.
8. Coles, S.: An Introduction to Statistical Modeling of Extreme Value, Springer Series in Statistics, Springer, New York, 2001.
9. Cusack, S.: A 100 year time-series of windstorm losses in the Netherlands, Climatic Change, submitted, 2012.
10. Della-Marta, P. M., Mathis, H., Frei, C., Liniger M. A., Kleinn, J., and Appenzeller, C.: The return period of wind storms over Europe, Int. J. Climatol., 29, 437-459, doi:10.1002/joc.1794, 2008.
11. Falk, M., Hüsler, J., and Reiss, R.: Laws of Small Numbers: Extremes and Rare Events (2nd ed.), Birkhäuser Verlag, 2000.
12. Fermanian J. D.: Goodness of fit test for copulas, J. Multivariate Anal., 95, 119-152, 2005.
13. Friederichs, P., Göber, M., Bentizien, S., Lenz, A., and Krampitz, R.: A probabilistic analysis of wind gusts using extreme value statistics, Meteorol. Z., 18, 615-629, 2009.
14. Galambos J.: The Asymptotic Theory of Extreme Order Statistics, Melbourne: Krieger, 1987.
15. Geffroy J.: Contributions à la thèorie des valeurs extrème, Publ. Inst. Stat. Univ. Paris, 7, 37-185, 1958.
16. Genest, C. and Segers, J.: Rank-based inference for bivariate extreme-value copulas, Ann. Stat., 37, 2990-3022, 2009.
17. Genest, C., Kojadinovic, I., Neslehova J., and Yan, J.: A goodness-of-fit test for bivariate extreme-value copulas, Bernoulli, 17, 253-275, 2011.
18. Hutchinson, T. P. and Lai, C. D.: Continuous Bivariate Distributions, Emphasizing Applications, Adelaide: Rumsby Scientific Publishing, 1990.
19. Kojadinovic, I. and Yan, J.: Modeling Multivariate Distributions with Continuous Margins Using the copula R Package, J. Stat. Softw., 34, 1-20, 2007.
20. Klawa, M. and Ulbrich, U.: A model for the estimation of storm losses and the identification of severe winter storms in Germany, Nat. Hazards Earth Syst. Sci., 3, 725-732, doi:10.5194/nhess-3-725-2003, 2003. (Pubitemid 38362764)
21. Kushnir, Y., Robinson, W. A., Chang, P., and Robertson, A. W.: The physical basis for predicting Atlantic sector seasonal-to-interannual climate variability, J. Climate, 19, 5949-5970, 2006. (Pubitemid 46085088)
22. Lamb, H.: Historic storms of the North Sea, British Isles and Northwest Europe, Cambridge Press, 1991
23. Ledford, A., and Tawn, A. Statistics of near independence in multi-variate extreme values, Biometrika 83, 169-187, 1996.
24. Leadbetter, M. R. and Rootzen H.: Extremal Theory for Stochastic Processes, The Annals of Probability, 16, 431-478, 1988.
25. Leckebusch, G. C., Renggli, D., and Ulbrich, U. Development and application of an objective storm severity measure for the Northeast Atlantic region, Meteorol. Z., 17, 575-587, doi:10.1127/0941-2948/2008/0323, 2008.
26. Mailier, P. J, Stephenson, D. B., Ferro, C. A. T., and Hodges K. I.: Serial Clustering of Extratropical Cyclones, Mon. Weather Rev., 135, 2224-2240, 2005. (Pubitemid 44275534)
27. Marshall, A. W.: Copulas, Marginals and Joint Distributions, in: Distributions with Fixed Marginals, and Related Topics, 213-222, Hayward, CA: Institute of Mathematical Statistics, 1996.
28. McNeil, A. J., Frey, R., and Embrechts, P.: Quantitative Risk Management, Princeton Series in Finance, 2005.
29. Nelsen, R. B.: An Introduction to Copulas, Springer, 1999.
30. Petak, W. J. and Atkisson, A. A.: Natural hazard risk assessment and public policy: Anticipating the unexpected, Springer-Verlag, New York, 1982.
31. Pickands J.: Multivariate extreme value distribution. Proceedings of the 43rd Session of the International Statistics Institute, Buenos Aires, vol. 2, 859-878, The Hague: International Statistics Institute, 1981.
32. R Development Core Team: R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna Austria, 2011.
33. Reskin, S. I.: Extreme Value, Regular Variation and Point Process, Springer, 1987.
34. Schölzel, C. and Friederichs, P.: Multivariate non-normally distributed random variables in climate research-introduction to the copula approach, Nonlin. Processes Geophys., 15, 761-772, doi:10.5194/npg-15-761-2008, 2008.
35. Sibuya, M.: Bivariate extreme statistics, Annals of the Institute of Statistical Mathematics, 11, 195-210, 1960.
36. Steinkohl, C., Davis, R. A., and Klüppelberg, C.: Extreme Value Analysis of Multivariate High Frequency Wind Speed Data Submitted for Publication, 2011.
37. Swiss Re: Natural catastrophes and man-made disasters in 2009: catastrophes claim fewer victims, insured losses fall, Swiss Re sigma report, available at: http://www.swissre.com/sigma/, 2010.
38. Wallace, J. M. and Gutzler, D. S.: Teleconnections in the geopoten-tial height field during the Northern Hemisphere Winter, Mon. Weather Rev., 109, 784-812, 1981.
39. Wang, S. S.: Aggregation of Correlated Risk Portfolios: Models and Algorithms, CAS Committee on Theory of Risk, 1998.
40. Wilks, D. S.: Statistical Methods in the Atmospheric Sciences, Academic Press, 2005.
41. Yan, J.: Enjoy the Joy of Copulas: With a Package copula, J. Stat. Softw., 21, 1-21, 2007.